Nice question. Can do in mathematical way by hand :
{(√2)^√2}^√2
= {2^(1/2)*√2}^√2
= {2^(1/√4)*√2}^√2
= 2^{(1/√2)*√2}
= 2^{1}
= 2
Reminded me of my Surds and Indices classes. :p
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Nice question. Can do in mathematical way by hand :
{(√2)^√2}^√2
= {2^(1/2)*√2}^√2
= {2^(1/√4)*√2}^√2
= 2^{(1/√2)*√2}
= 2^{1}
= 2
Reminded me of my Surds and Indices classes. :p
Yes. You have a nice way to solve it. Please don't forget to upvote.